Pre-Calculus Homework Solutions 119

# Pre-Calculus Homework Solutions 119 - 2 Sample answer 5...

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121 Chapter 5 2. Sample answer: 3. Sample answer: An altitude and angle bisector of a triangle are the same segment in an equilateral triangle. 4. Find an equation of the perpendicular bisector of A w B w . The slope of A w B w is 2 } 1 6 } , so the slope of the perpendicular bisector is 6. The midpoint of A w B w is 1 0, } 5 2 } 2 . y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 } 5 2 } 5 ¬ 6( x 2 0) y 2 } 5 2 } 5 ¬ 6 x y 5 ¬ 6 x 1 } 5 2 } Find an equation of the perpendicular bisector of B w C w . The slope of B w C w is 3, so the slope of the perpendicular bisector of B w C w is 2 } 1 3 } . The midpoint of B w C w is (2, 2 1). y 2 y 1 5 ¬ m ( x 2 x 1 ) y 2 ( 2 1) 5 ¬ 2 } 1 3 } ( x 2 2) y 1 1 5 ¬ 2 } 1 3 } x 1 } 2 3 } y 5 ¬ 2 } 1 3 } x 2 } 1 3 } Solve a system of equations to find the point of intersection of the perpendicular bisectors. Find x . y 5 ¬ 6 x 1 } 5 2 } 2 } 1 3 } x 2 } 1 3 } 5 ¬ 6 x 1 } 5 2 } 2 2 x 2 2 5 ¬ 36 x 1 15 2 17 5 ¬ 38 x 2 } 1 3 7 8 } 5 ¬ x Replace x with 2 } 1 3 7 8 } in one of the equations to find the y -coordinate.
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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